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What is the first step in finding LCM of tow or more numbers?
The first step in finding the Least Common Multiple (LCM) of two or more numbers is to determine the prime factorization of each number. This involves breaking down each number into its prime factors. Once you have the prime factorization of each number, you can identify the common factors and the highest power of each prime factor that appears in any of the numbers. Finally, multiply these common factors together to find the LCM.
Write down the highest common factor of 85 and 155?
Prime factor each number and choose the common factors to multiply.85=5x17155=5x315 is the greatest common factor.
What is the LCM of 4 16 and 32?
The normal method to determine the LCM of several numbers is to express each number in terms of its prime factors.4 = 2 x 2 = 2216 = 2 x 2 x 2 x 2 = 2432 = 2 x 2 x 2 x 2 x 2 = 25The LCM is the product of the highest power of each prime factor.In this case, '2' is the only prime factor and its highest power is 25 = 32.Then, 32 is the LCM of 4,16 and 32.
What is the least common multiple of 2 12 and 16?
Well, honey, the least common multiple of 2, 12, and 16 is 48. You take the highest power of each prime number that appears in the factorization of each number, and then multiply them all together. Voilà, you've got your answer!
What is the Least Common Multiple of 275 and 605?
To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 275 is 5 x 5 x 11, and the prime factorization of 605 is 5 x 11 x 11. To find the LCM, you take the highest power of each prime factor that appears in either factorization: 5^2 x 11^2 = 3025. Therefore, the LCM of 275 and 605 is 3025.
What is the highest power of each prime factor of 18 and 15?
The prime factors of 15 are 3 and 5. The prime factors of 18 are 2 and 3. The highest power of each of these is 1.
What is the LCM of 5ab and 7ab squared?
To find the least common multiple (LCM) of 5ab and 7ab squared, we need to consider the highest power of each prime factor in both numbers. The prime factors in 5ab are 5, a, and b, while the prime factors in 7ab squared are 7, a, and b squared. The LCM will be the product of the highest power of each prime factor, which gives us 35ab squared.
What is the highest common factor of 8 and 68?
Determine the factors of each term to get: 8 = 2³ 68 = 2² * 17 Next, find the LCM. Make note that the highest exponent of the prime gives the prime factor to that power. Therefore, the LCM is .... 2³ * 17 = 136
What number can be divided by 2 3 5 6 7?
This is a LCM question, so factor all and find the highest power of each prime factor. 2 is prime 3 is prime 5 is prime 6 is [2 3] 7 is prime. LCM is [2] [3] [5] [7] so the answer is 210◄
What is the LCM of the numbers '11' '16' and '20'?
First express each of the numbers in prime factors:16 = 2411 = 11 (prime number)20 = 22 x 5Now, select the highest power for all prime numbers:24, 11, and 5 then multiply them all together. (16)(11)(5) = 880 is the LCMNote: 22 is not "counted" because it was a factor at a higher power in one of the other numbers. Take only the factor with the highest power.
What is the HCF of 81 243 and 1215?
To find the highest common factor (HCF) of 81, 243, and 1215, we first need to find the prime factorization of each number. The prime factorization of 81 is 3^4, 243 is 3^5, and 1215 is 3^5 * 5. To find the HCF, we look for the highest power of each prime factor that appears in all the numbers. In this case, the highest power of 3 that appears in all three numbers is 3^4, so the HCF of 81, 243, and 1215 is 81.
How do you find the least common multiple of two numbers using prime factorization?
Factor the two (or more) numbers into their primes and write each prime with its exponent (power). Now to find the LCM, take the highest power of each prime that occurs in either of the two (or more) prime factorizatons and multiply them. The product is the LCM. for example: 45=(3^2)(5) 50=2(5^2) So the highest power of 2 is 2^1, the highest power of 3 is 3^2, and the highest power of 5 is 5^1 The LCM is the product of these. So it is 2x5^2x3^2. For those primes not in either factorization, the highest power is 0, for example in our two numbers we have 13^0=1
What is the least common multiple of 108 and 162?
Prime factorization of 108 = 22 x 33Prime factorization of 162 = 2 x 34LCM = Multiplying the highest power in each prime factor = 22 x 34 = 324.
What is the first step in finding LCM of tow or more numbers?
The first step in finding the Least Common Multiple (LCM) of two or more numbers is to determine the prime factorization of each number. This involves breaking down each number into its prime factors. Once you have the prime factorization of each number, you can identify the common factors and the highest power of each prime factor that appears in any of the numbers. Finally, multiply these common factors together to find the LCM.
What is the LCM of 1 2 3 4 5 6 7 8 9 10 11 12?
To find the least common multiple (LCM) of a set of numbers, you need to first find the prime factorization of each number. Then, you take the highest power of each prime factor that appears in any of the factorizations. In this case, the prime factorization of each number is: 2, 3, 2^2, 5, 2 * 3, 7, 2^3, 3^2, 2 * 5, 11, 2^2 * 3. Taking the highest power of each prime factor, the LCM is 2^3 * 3^2 * 5 * 7 * 11 = 27720.
Write down the highest common factor of 85 and 155?
Prime factor each number and choose the common factors to multiply.85=5x17155=5x315 is the greatest common factor.
What is the LCM of 18 32 and 48?
To find the Least Common Multiple (LCM) of 18, 32, and 48, we first need to prime factorize each number. Then, we identify the highest power of each prime factor that appears in any of the factorizations. The LCM is the product of these prime factors raised to their highest powers: LCM(18, 32, 48) = 2^5 * 3^2 = 288.
